Search a number
-
+
8053155 = 3351121729
BaseRepresentation
bin11110101110000110100011
3120011010212000
4132232012203
54030200110
6444335043
7125310405
oct36560643
916133760
108053155
114600500
122844483
13188c6a6
1410d8b75
15a911c0
hex7ae1a3

8053155 has 96 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 3548160.

The previous prime is 8053153. The next prime is 8053183. The reversal of 8053155 is 5513508.

8053155 is a `hidden beast` number, since 80 + 531 + 55 = 666.

It is not a de Polignac number, because 8053155 - 21 = 8053153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8053155 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277681 + ... + 277709.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 28053155 is an apocalyptic number.

8053155 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8053155 is an abundant number, since it is smaller than the sum of its proper divisors (9183645).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8053155 is a wasteful number, since it uses less digits than its factorization.

8053155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 8053155 is about 2837.8081330492. The cubic root of 8053155 is about 200.4419808784.

It can be divided in two parts, 80 and 53155, that added together give a palindrome (53235).

The spelling of 8053155 in words is "eight million, fifty-three thousand, one hundred fifty-five".

Divisors: 1 3 5 9 11 15 17 27 29 33 45 51 55 85 87 99 121 135 145 153 165 187 255 261 297 319 363 435 459 493 495 561 605 765 783 935 957 1089 1305 1479 1485 1595 1683 1815 2057 2295 2465 2805 2871 3267 3509 3915 4437 4785 5049 5423 5445 6171 7395 8415 8613 10285 10527 13311 14355 16269 16335 17545 18513 22185 25245 27115 30855 31581 43065 48807 52635 55539 59653 66555 81345 92565 94743 146421 157905 178959 244035 277695 298265 473715 536877 732105 894795 1610631 2684385 8053155